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Title: First-principles equation-of-state table of beryllium based on density-functional theory calculations

Beryllium has been considered a superior ablator material for inertial confinement fusion (ICF) target designs. An accurate equation-of-state (EOS) of beryllium under extreme conditions is essential for reliable ICF designs. Based on density-functional theory (DFT) calculations, we have established a wide-range beryllium EOS table of density ρ = 0.001 to 500 g/cm 3 and temperature T = 2000 to 10 8 K. Our first-principle equation-of-state (FPEOS) table is in better agreement with the widely used SESAME EOS table (SESAME 2023) than the average-atom INFERNO and Purgatorio models. For the principal Hugoniot, our FPEOS prediction shows ~10% stiffer than the last two models in the maximum compression. Although the existing experimental data (only up to 17 Mbar) cannot distinguish these EOS models, we anticipate that high-pressure experiments at the maximum compression region should differentiate our FPEOS from INFERNO and Purgatorio models. Comparisons between FPEOS and SESAME EOS for off-Hugoniot conditions show that the differences in the pressure and internal energy are within ~20%. By implementing the FPEOS table into the 1-D radiation–hydrodynamic code LILAC, we studied in this paper the EOS effects on beryllium-shell–target implosions. Finally, the FPEOS simulation predicts higher neutron yield (~15%) compared to the simulation using the SESAMEmore » 2023 EOS table.« less
 [1] ;  [2]
  1. Univ. of Rochester, NY (United States). Lab. for Laser Energetics. Dept. of Mechanical Engineering
  2. Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Publication Date:
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 6; Journal ID: ISSN 1070-664X
American Institute of Physics (AIP)
Research Org:
Univ. of Rochester, NY (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA); Univ. of Rochester (United States); New York State Energy Research and Development Authority (United States)
Country of Publication:
United States
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Beryllium; Equations of state; Inertial confinement; Computer modeling; Plasma temperature
OSTI Identifier: